Gravitational Acceleration: Two Complementary Perspectives
In QA theory, gravity arises from small variations in the speed of energy (c) as it propagates through space. These variations are influenced by the impedance and viscosity of space, both of which are determined by the electromagnetic properties of the vacuum, represented by μ0 and ε0.
Rate of Change Perspective
Interacting Massless Energy Fields and Flux Path Dynamics
CA proposes that gravitational effects arise from energy flow rather than mass.
Experimental support comes from interactions between massless electromagnetic fields in vacuum, such as in directional antennas, resonant cavities, and Faraday Rotation.
These interactions demonstrate that energy density alone can create gravitational effects, aligning with CA’s premise that gravity emerges from structured energy propagation rather than mass-induced spacetime curvature.
New Paradigms in Electromagnetic Propagation: E=mc² Explained
Einstein’s energy-momentum equation:
E2 = m2 * c4 + p2 * c2
This equation accounts for both rest energy (mc²) and momentum-based energy (p²c²).
When considering massless energy flux (setting m=0m=0), the equation simplifies to energy as a function of momentum and propagation speed.
Relativistic Energy Considerations:
The relativistic kinetic energy equation:
E = mc2 * (1 / sqrt(1 – (v2 / c2)) – 1)
If mass is eliminated as causal, then as velocity v approaches c, the denominator approaches zero, reinforcing the fundamental role of c in energy propagation:
if sqrt(1 – (v2 / c2)) -> 0
then E = mc2
Combining Einstein and Maxwell:
Einstein’s Equivalence Equation:
E = mc2
Maxwell’s Definition of Speed of Energy:
c2 = 1/μ0ε0
Rewriting Einstein’s Equation in Terms of Electromagnetic Properties:
E = m(1/μ0ε0)
This directly relates energy to the fundamental properties of free space (permittivity and permeability), eliminating the need for mass in gravitational considerations.
Clarifying the Acceleration:
In the CA model, gravitational acceleration is tied to the rate of change of the speed of energy propagation with respect to distance.
The formulation:
Gv= – dx/d√(ε0μ0)
Where:
Gv represents the rate of gravitational acceleration vector,
dx: Differential spatial displacement
μ0,ε0: Local field parameters influencing energy speed
This represents how gravitational effects result from variations in energy flow rather than from mass curvature.
Deriving the CA Gravitational Acceleration Vector:
Gv = – dc/ dt
Where:
dc: Change in speed of energy
dt: Change in distance/time
Reduction to Classical Mechanics:
Gv=dc/dt
This suggests that gravitational acceleration is the first-order derivative of energy speed with respect to spatial distance, analogous to acceleration in classical mechanics.
Instantaneous Difference Perspective
As a complementary view, gravitational acceleration can also be understood through the instantaneous difference between the speed of energy in open space (cmax) and the local speed of energy (cl):
Ga = 1/(cmax−cl)
Where:
Ga represents the rate of gravitational acceleration,
cmax is the speed of energy in open space,
cl is the local speed of energy, which varies depending on the gravitational potential in that region.
This expression captures the gravitational acceleration as an immediate consequence of the difference in energy speeds, providing a snapshot of the gravitational effect at a specific point in space.
Equivalence and Veracity
These two equations, though derived from different perspectives, describe the same gravitational acceleration. The consistency between the rate of change in energy speed over distance and the instantaneous difference in energy speeds reinforces the validity of the Quantum Admittance framework. Together, they provide a comprehensive understanding of gravity, demonstrating how it can be understood both as a continuous process and an instantaneous effect within the same theoretical structure.
Clarifying the Acceleration: To relate this to gravitational phenomena, we can express the gravitational constant (Gv) in terms of these energy dynamics. If we denote the gravitational acceleration by Gv= – dx/d√(ε0μ0) where gravity is defined as distance with respect to the change in the speed of energy. This can be reduced to Gv=dc/dx. This formulation implies that gravitational effects can be directly linked to variations in the propagation speed of energy within the context of Charge Admittance.
Explanation of the Transition: To connect the change in the speed of energy with gravitational acceleration, consider that: The change in the speed of energy (dc) over a distance (dx) reflects an acceleration. In classical mechanics, acceleration is defined as the change in velocity over time. Here, dc serves as a proxy for velocity changes in the energy flow, with dx corresponding to either time or a spatial dimension (or both).
Verification of Correctness: In traditional physics, c2 is a significant term in both energy-mass equivalence and electromagnetism. Here, Gv2 could be interpreted as relating to changes in the energy propagation squared: Gv2= – (dc/dx)2, However, simplifying to: Gv= – dx/dc aligns with the interpretation of gravitational acceleration as a first-order derivative of the energy speed with respect to distance, making it consistent with classical mechanics and the principles of Admittance.
The Reciprocity of Z0 and Energy Concentration:
∂E/∂Y0 = -k*E
Where:
Y0 is the admittance of space,
E is the concentration of energy,
k is a constant of proportionality.
This equation states that the rate of change of the concentration of energy with respect to the admittance is equal to the negative of the product of the constant of proportionality and the density of energy. There are similarities between the force of gravity and the force produced by the energy speed gradient and are proportionate. This is an important link in not only showing the organizing energy but also in the relationship of that organization.